114311808 has 192 divisors, whose sum is σ = 375921000. Its totient is φ = 33030144.

The previous prime is 114311803. The next prime is 114311837. The reversal of 114311808 is 808113411.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 16064064 = 9912^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (114311803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254368 + ... + 254816.

Almost surely, 2^114311808 is an apocalyptic number.

114311808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187960500).

114311808 is an abundant number, since it is smaller than the sum of its proper divisors (261609192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114311808 is a wasteful number, since it uses less digits than its factorization.

114311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 114311808 is about 10691.6700285783. The cubic root of 114311808 is about 485.3224312918.

The spelling of 114311808 in words is "one hundred fourteen million, three hundred eleven thousand, eight hundred eight".